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Practice Test/Quiz or MCQ (Multiple Choice Questions) with Solutions of Chapter "Polynomials" are available for CBSE Class 9 Mathematics (Maths) and have been compiled as per the syllabus of CBSE Class 9 Mathematics (Maths)
Q A cubic polynomial is a polynomial with degree
- a)1
- b)3
- c)0
- d)2
Correct answer is option 'B'. Can you explain this answer?
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A cubic polynomial is a polynomial of degree 3. A univariate cubic polynomial has the form f(x) = a3 x^3 + a2 x^2 + a1 x + a0. An equation involving a cubic polynomial is called a cubic equation. A closed-form solution known as the cubic formula exists for the solutions of an arbitrary cubic equation.
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A cubic polynomial is a polynomial of degree 3. A univariate cubic polynomial has the form f(x) = a3 x3 + a2 x2 + a1 x + a0. An equation involving a cubic polynomial is called a cubic equation. A closed-form solution known as the cubic formula exists for the solutions of an arbitrary cubic equation.
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Understanding Polynomials
Polynomials are mathematical expressions that consist of variables and coefficients, combined using addition, subtraction, multiplication, and non-negative integer exponents. The degree of a polynomial is the highest exponent of the variable in the expression.
What is a Cubic Polynomial?
A cubic polynomial is specifically defined as a polynomial where the highest degree (or exponent) of the variable is 3. This means that in a cubic polynomial, you will find terms that are raised to the power of 3, along with possibly lower degree terms (like squared or linear terms).
Example of a Cubic Polynomial
An example of a cubic polynomial is:
- P(x) = 2x^3 + 3x^2 - 4x + 5
In the above polynomial:
- The term 2x^3 has the highest degree of 3.
- Other terms (3x^2, -4x, and 5) have lower degrees (2, 1, and 0, respectively).
Why is the Correct Answer Option 'B'?
- The question asks for the degree of a cubic polynomial.
- Since the highest exponent in a cubic polynomial is 3, the correct answer is option 'B'.
Summary
- A cubic polynomial has a degree of 3.
- It may include multiple terms, but the defining characteristic is the presence of the x^3 term.
Understanding the concept of polynomial degrees is crucial for recognizing different types of polynomials and their properties in mathematics.
Polynomials are mathematical expressions that consist of variables and coefficients, combined using addition, subtraction, multiplication, and non-negative integer exponents. The degree of a polynomial is the highest exponent of the variable in the expression.
What is a Cubic Polynomial?
A cubic polynomial is specifically defined as a polynomial where the highest degree (or exponent) of the variable is 3. This means that in a cubic polynomial, you will find terms that are raised to the power of 3, along with possibly lower degree terms (like squared or linear terms).
Example of a Cubic Polynomial
An example of a cubic polynomial is:
- P(x) = 2x^3 + 3x^2 - 4x + 5
In the above polynomial:
- The term 2x^3 has the highest degree of 3.
- Other terms (3x^2, -4x, and 5) have lower degrees (2, 1, and 0, respectively).
Why is the Correct Answer Option 'B'?
- The question asks for the degree of a cubic polynomial.
- Since the highest exponent in a cubic polynomial is 3, the correct answer is option 'B'.
Summary
- A cubic polynomial has a degree of 3.
- It may include multiple terms, but the defining characteristic is the presence of the x^3 term.
Understanding the concept of polynomial degrees is crucial for recognizing different types of polynomials and their properties in mathematics.
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Practice Test/Quiz or MCQ (Multiple Choice Questions) with Solutions of Chapter "Polynomials" are available for CBSE Class 9 Mathematics (Maths) and have been compiled as per the syllabus of CBSE Class 9 Mathematics (Maths)Q A cubic polynomial is a polynomial with degreea)1b)3c)0d)2Correct answer is option 'B'. Can you explain this answer?
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Practice Test/Quiz or MCQ (Multiple Choice Questions) with Solutions of Chapter "Polynomials" are available for CBSE Class 9 Mathematics (Maths) and have been compiled as per the syllabus of CBSE Class 9 Mathematics (Maths)Q A cubic polynomial is a polynomial with degreea)1b)3c)0d)2Correct answer is option 'B'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Practice Test/Quiz or MCQ (Multiple Choice Questions) with Solutions of Chapter "Polynomials" are available for CBSE Class 9 Mathematics (Maths) and have been compiled as per the syllabus of CBSE Class 9 Mathematics (Maths)Q A cubic polynomial is a polynomial with degreea)1b)3c)0d)2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Practice Test/Quiz or MCQ (Multiple Choice Questions) with Solutions of Chapter "Polynomials" are available for CBSE Class 9 Mathematics (Maths) and have been compiled as per the syllabus of CBSE Class 9 Mathematics (Maths)Q A cubic polynomial is a polynomial with degreea)1b)3c)0d)2Correct answer is option 'B'. Can you explain this answer?.
Practice Test/Quiz or MCQ (Multiple Choice Questions) with Solutions of Chapter "Polynomials" are available for CBSE Class 9 Mathematics (Maths) and have been compiled as per the syllabus of CBSE Class 9 Mathematics (Maths)Q A cubic polynomial is a polynomial with degreea)1b)3c)0d)2Correct answer is option 'B'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Practice Test/Quiz or MCQ (Multiple Choice Questions) with Solutions of Chapter "Polynomials" are available for CBSE Class 9 Mathematics (Maths) and have been compiled as per the syllabus of CBSE Class 9 Mathematics (Maths)Q A cubic polynomial is a polynomial with degreea)1b)3c)0d)2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Practice Test/Quiz or MCQ (Multiple Choice Questions) with Solutions of Chapter "Polynomials" are available for CBSE Class 9 Mathematics (Maths) and have been compiled as per the syllabus of CBSE Class 9 Mathematics (Maths)Q A cubic polynomial is a polynomial with degreea)1b)3c)0d)2Correct answer is option 'B'. Can you explain this answer?.
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